i once read this book call "ROCK SECRETS"
there's a way to train tis fingering height thingy

the usual spider exercise ex1
--------------------1-2-3-4-
-----------1-2-3-4----------
--1-2-3-4-------------------
and so on, up down , string skipping, etc


u cud minimise movement by actuali practise moving ur fingers unless needed
after finish a climb from 1 string, u keep all ur fingers down
so wen ur moving to the other, ur other fingers are stil on the previous string
let say u did 1-2-3-4 on E string, wen u continue to the A string 1st fret
ur 2-3-4 fingers are stil on the E string

gud luck man
hope tat helps

there's a bad habit u need to work on